1254162240 has 168 divisors, whose sum is σ = 4326940800. Its totient is φ = 333425664.

The previous prime is 1254162229. The next prime is 1254162251. The reversal of 1254162240 is 422614521.

1254162240 is a `hidden beast` number, since 1 + 2 + 5 + 416 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (1254162229) and next prime (1254162251).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1724757 + ... + 1725483.

It is an arithmetic number, because the mean of its divisors is an integer number (25755600).

Almost surely, 2^1254162240 is an apocalyptic number.

1254162240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1254162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163470400).

1254162240 is an abundant number, since it is smaller than the sum of its proper divisors (3072778560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1254162240 is a wasteful number, since it uses less digits than its factorization.

1254162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1254162240 is about 35414.1531029615. The cubic root of 1254162240 is about 1078.4116569576.

Adding to 1254162240 its reverse (422614521), we get a palindrome (1676776761).

The spelling of 1254162240 in words is "one billion, two hundred fifty-four million, one hundred sixty-two thousand, two hundred forty".